59345104896 has 1040 divisors, whose sum is σ = 232919013888. Its totient is φ = 14598144000.

The previous prime is 59345104807. The next prime is 59345104909. The reversal of 59345104896 is 69840154395.

59345104896 is a `hidden beast` number, since 5 + 9 + 34 + 510 + 4 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587575246 + ... + 587575346.

Almost surely, 2^59345104896 is an apocalyptic number.

59345104896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59345104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116459506944).

59345104896 is an abundant number, since it is smaller than the sum of its proper divisors (173573908992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59345104896 is a wasteful number, since it uses less digits than its factorization.

59345104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 59345104896 in words is "fifty-nine billion, three hundred forty-five million, one hundred four thousand, eight hundred ninety-six".